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1168834416 = 243316011307
BaseRepresentation
bin100010110101010…
…1111111101110000
310000110100221101120
41011222233331300
54343210200131
6311552102240
740651633341
oct10552577560
93013327346
101168834416
1154a85a662
12287534980
13158201ac9
14b133a0c8
156c931496
hex45aaff70

1168834416 has 80 divisors (see below), whose sum is σ = 3124466688. Its totient is φ = 376128000.

The previous prime is 1168834409. The next prime is 1168834423. The reversal of 1168834416 is 6144388611.

It is an interprime number because it is at equal distance from previous prime (1168834409) and next prime (1168834423).

It is a super-2 number, since 2×11688344162 = 2732347784052122112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893635 + ... + 894941.

Almost surely, 21168834416 is an apocalyptic number.

1168834416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1168834416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562233344).

1168834416 is an abundant number, since it is smaller than the sum of its proper divisors (1955632272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1168834416 is a wasteful number, since it uses less digits than its factorization.

1168834416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1944 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 1168834416 is about 34188.2204275098. The cubic root of 1168834416 is about 1053.3782097350.

The spelling of 1168834416 in words is "one billion, one hundred sixty-eight million, eight hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 601 744 1202 1307 1488 1803 2404 2614 3606 3921 4808 5228 7212 7842 9616 10456 14424 15684 18631 20912 28848 31368 37262 40517 55893 62736 74524 81034 111786 121551 149048 162068 223572 243102 298096 324136 447144 486204 648272 785507 894288 972408 1571014 1944816 2356521 3142028 4713042 6284056 9426084 12568112 18852168 24350717 37704336 48701434 73052151 97402868 146104302 194805736 292208604 389611472 584417208 1168834416